Some non homogeneous deformations for a special class of isotropic constrained materials

Abstract

The nonlinear elastic response of a class of materials for which the deformation is subject to an internal material constraint is investigated. The purely kinematical consequences of this constraint are discussed and restrictions on the full range of compatible deformations are presented. This paper focuses in particular on non homogeneous deformations and after deriving constitutive equation for this new class of materials, some families of solutions are presented.

Keywords

• non linear elasticity
• constrained materials
• universal deformations